201k views
2 votes
Find the missing length. The triangles in each pair are similar. Please explain.

Find the missing length. The triangles in each pair are similar. Please explain.-example-1
User Saulyasar
by
5.3k points

1 Answer

3 votes

Answer:

RT = 121

Step-by-step explanation:

Since ∆RST ~ ∆RCB, their corresponding side lengths of both triangles are proportional to each other.

Therefore:

RS/RC = RT/RB

RS = 132

RC = 36

RT = ?

RB = 33

Plug in the values into the equation

132/36 = RT/33

Cross multiply

36*RT = 33*132

36*RT = 4,356

Divide both sides by 36

RT = 4,356/36

RT = 121

User Lyall
by
5.2k points